Question

Find the square root of the following number by Division method.
$4489$

Answer 1

Solution:

Consider first two digits and then the next two digits.If there are three digits in the given number then first consider the first digit and then the take two digits together

$6|4489|6x$

$36$

$12\times |889|$

Now the number $889$ has $9$ in units place so take a share number which has $9$ at the end (ex.$3\times 3=9and7\times 7=49$)

So put $7$ in the place of$x$ and multiply the $x$ value with $12\times \left(thatis127\right)u$ will get the remainder as $0$

Therefore the square root of $4489$ is $6x\times 6x$ i.e. $67\times 67=4489$